Schismic–commatic equivalence continuum: Difference between revisions

POTE -> CTE and CWE since all of these are new items. +intro to sextile. Dirichlet -> smith badness for heptacot until dirichlet is properly documented.
Cleanup and +commas for fractional-numbered temps
Line 14: Line 14:
|-
|-
| -1
| -1
| [[Marvel temperaments #Gracecordial|Gracecordial]]
| [[Gracecordial]]
| 17433922005/17179869184
| (22 digits)
| {{monzo| -34 20 1 }}
| {{monzo| -34 20 1 }}
|-
|-
| 0
| 0
| [[Compton family|Compton]]
| [[Compton]]
| [[531441/524288]]
| [[531441/524288]]
| {{monzo| -19 12 }}
| {{monzo| -19 12 }}
|-
|-
| 1
| 1
| [[Meantone family|Meantone]]
| [[Meantone]]
| [[81/80]]
| [[81/80]]
| {{monzo| -4 4 -1 }}
| {{monzo| -4 4 -1 }}
|-
|-
| 2
| 2
| [[Diaschismic family|Diaschismic]]
| [[Diaschismic]]
| [[2048/2025]]
| [[2048/2025]]
| {{monzo| 11 -4 -2 }}
| {{monzo| 11 -4 -2 }}
|-
|-
| 3
| 3
| [[Misty family|Misty]]
| [[Misty]]
| [[67108864/66430125]]
| [[67108864/66430125]]
| {{monzo| 26 -12 -3 }}
| {{monzo| 26 -12 -3 }}
|-
|-
| 4
| 4
| [[Undim family|Undim]]
| [[Undim]]
|  
| (26 digits)
| {{monzo| 41 -20 -4 }}
| {{monzo| 41 -20 -4 }}
|-
|-
| 5
| 5
| [[Quindromeda family|Quindromeda]]
| [[Quindromeda]]
|  
| (34 digits)
| {{monzo| 56 -28 -5 }}
| {{monzo| 56 -28 -5 }}
|-
|-
| 6
| 6
| [[Sextile]]
| [[Sextile]]
|  
| (44 digits)
| {{monzo| 71 -36 -6 }}
| {{monzo| 71 -36 -6 }}
|-
|-
| 7
| 7
| [[Schismic-Pythagorean equivalence continuum#Heptacot|Heptacot]]
| [[Heptacot]]
|  
| (52 digits)
| {{monzo| 86 -44 -7 }}
| {{monzo| 86 -44 -7 }}
|-
|-
| 8
| 8
| [[World calendar]]
| [[World calendar]]
|  
| (62 digits)
| {{monzo| 101 -52 -8 }}
| {{monzo| 101 -52 -8 }}
|-
|-
| 9
| 9
| Quinbisa-tritrigu (12&441)
| Quinbisa-tritrigu (12&441)
|  
| (70 digits)
| {{monzo| 116 -60 -9 }}
| {{monzo| 116 -60 -9 }}
|-
|-
| 10
| 10
| Lesa-quinbigu (12&494)
| Lesa-quinbigu (12&494)
|  
| (80 digits)
| {{monzo| 131 -68 -10 }}
| {{monzo| 131 -68 -10 }}
|-
|-
| 11
| 11
| Quadtrisa-legu (12&559)
| Quadtrisa-legu (12&559)
|  
| (88 digits)
| {{monzo| 146 -76 -11 }}
| {{monzo| 146 -76 -11 }}
|-
|-
| 12
| 12
| [[Very high accuracy temperaments #Atomic|Atomic]]
| [[Atomic]]
|  
| (98 digits)
| [[Kirnberger's atom|{{monzo| 161 -84 -12 }}]]
| [[Kirnberger's atom|{{monzo| 161 -84 -12 }}]]
|-
|-
| 13
| 13
| Quintrila-theyo (12&677)
| Quintrila-theyo (12&677)
|  
| (106 digits)
| {{monzo| -176 92 13 }}
| {{monzo| -176 92 13 }}
|-
|-
Line 165: Line 165:
|+ Temperaments with fractional ''n'' and ''m''
|+ Temperaments with fractional ''n'' and ''m''
|-
|-
! Temperament !! ''n'' !! ''m''
! ''n'' !! ''m'' !! Temperament !! Comma
|-
|-
| [[Passion]] || 5/3 = 1.{{overline|6}} || 5/2 = 2.5
| 5/3 = 1.{{overline|6}} || 5/2 = 2.5 || [[Passion]] || {{monzo| 18 -4 -5 }}
|-
|-
| [[Quintaleap]] || 5/2 = 2.5 || 5/3 = 1.{{overline|6}}
| 5/2 = 2.5 || 5/3 = 1.{{overline|6}} || [[Quintaleap]] || {{monzo| 37 -16 -5 }}
|}
|}